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Finding the Fourth Proportional to 9,316.97, 12,857.21 and 5,340.43

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Solution

The fourth proportional to 9,316.97, 12,857.21 and 5,340.43 is: 7,369.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.97 : 12,857.21 = 5,340.43 : x
  2. Step 2: Convert to fraction form
    9,316.97/12,857.21 = 5,340.43/x
  3. Step 3: Cross multiply
    9,316.97x = 12,857.21 × 5,340.43
  4. Step 4: Simplify right side
    9,316.97x = 68,662,965.71
  5. Step 5: Solve for x
    x = 68,662,965.71/9,316.97
  6. Step 6: Final answer
    x = 7,369.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.